Show the Proof¶

In [1]:

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.equality.sub_right_side_into
2	instantiation	11, 4, 10	⊢
	: , :
3	instantiation	5, 6, 26, 7, 8, 9, 12, 13, 10	⊢
	: , : , : , : , : , :
4	instantiation	11, 12, 13	⊢
	: , :
5	theorem		⊢
	proveit.numbers.multiplication.disassociation
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	14	⊢
	: , :
10	instantiation	27, 16, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
13	instantiation	27, 16, 17	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	instantiation	27, 18, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	27, 20, 21	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
21	instantiation	22, 23, 24	⊢
	: , :
22	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
23	instantiation	27, 25, 26	⊢
	: , : , :
24	instantiation	27, 28, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
29	assumption		⊢